We now analyze the effect of a single edge dislocation on the pairing
state described by Eq. (REF ). Edge dislocations occur even
in otherwise exceptionally clean materials and lead to strong local
strain fields, yielding associated stress values of several GPa [1]}. These
strain fields change the local energetics of the superconductor and
locally break the tetragonal lattice symmetry, mixing different pairing channels.
The strain field in the vicinity of an edge dislocation is given in
standard textbooks [2]}. It is characterized by the Burgers
vector \(b = b\, \hat{b}\)  and the unit vector \(\hat{t}\)  tangential
to the dislocation line. The strain tensor \(\epsilon _{\alpha \beta } \!=\! (\partial _{\alpha }u_{b}+\partial _{\beta }u_{\alpha })/2\)  is evaluated from the displacement field \(u\) . For an edge dislocation, the latter is given by
\(\!u &= \frac{b}{2\pi }\Big [\theta \!+\! \frac{A}{2}\sin (2\theta )\Big ]+\frac{\hat{t}\times b}{2\pi }[A\cos ^{2}(\theta ) \!+\! B\log (\rho )]\) 
